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21342410330031 = 337919122875741
BaseRepresentation
bin1001101101001001010101…
…10010010100111110101111
32210120022111021022221121000
410312210222302110332233
510244133224021030111
6113220322402211343
74331636552403330
oct466445262247657
983508437287530
1021342410330031
1168892a126595a
122488376053b53
13bba7719251cb
1453ad9a162287
152702721a9c56
hex13692ac94faf

21342410330031 has 32 divisors (see below), whose sum is σ = 36174618444800. Its totient is φ = 12182392366560.

The previous prime is 21342410330029. The next prime is 21342410330083. The reversal of 21342410330031 is 13003301424312.

It is a happy number.

21342410330031 is a `hidden beast` number, since 2 + 1 + 342 + 4 + 10 + 3 + 300 + 3 + 1 = 666.

It is not a de Polignac number, because 21342410330031 - 21 = 21342410330029 is a prime.

It is a super-2 number, since 2×213424103300312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21342410329977 and 21342410330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342410330431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61264180 + ... + 61611561.

It is an arithmetic number, because the mean of its divisors is an integer number (1130456826400).

Almost surely, 221342410330031 is an apocalyptic number.

21342410330031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21342410330031 is a deficient number, since it is larger than the sum of its proper divisors (14832208114769).

21342410330031 is a wasteful number, since it uses less digits than its factorization.

21342410330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122876676 (or 122876670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21342410330031 its reverse (13003301424312), we get a palindrome (34345711754343).

The spelling of 21342410330031 in words is "twenty-one trillion, three hundred forty-two billion, four hundred ten million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 919 2757 6433 8271 19299 24813 57897 173691 122875741 368627223 860130187 1105881669 2580390561 3317645007 7741171683 23223515049 112922805979 338768417937 790459641853 1016305253811 2371378925559 3048915761433 7114136776677 21342410330031